A rock tumbles straight down from a cliff, it is moving at 20 m/s when it hits. What is the height of the cliff? The mass of the rock is 8 kg.
A. 400 m
B. 160 m
C. 2.5 m
D. 20.4 m

Answer:

  see attached

Explanation:

The drawing shows a battery connected to two lamps in series. There is no switch in the circuit. The schematic below reflects this.

Answer:

9.8m\sec

Explanation:

free falling neglecting the air drag so its acceleration will be the acceleration due to gravity

Answer:

Option C

Explanation:

Centripetal acceleration formula regarding velocity and radius is,

[tex]a_c=\frac{v^2}{r}[/tex]

now we know the centripetal acceleration is 9 and the radius is 16 so we plug these values into our formula,

[tex]a_c=\frac{v^2}{r}\\\\9=\frac{v^2}{16} \\\\144=v^2\\\\\sqrt{144}=v \\\\v=12\ m/s[/tex]

so velocity is 12 m/s

Now for the angular velocity, the formula of centripetal acceleration regarding angular velocity and radius is,

[tex]a_c=rw^2[/tex]

we know the centripetal acceleration is 9 and the radius is 16 so plug these values into the formula,

[tex]a_c=rw^2\\\\9=16w^2\\\\0.5625=w^2\\\\\sqrt{0.5625}=w \\\\0.75\ rad/s=w\\[/tex]

so angular velocity is 0.75 rad/s

Answer:

Explanation:

The resistance of this device is determined by using the formuia from Ohms Law:

V = IR

where; V = voltage

I = current

R = resistance

From the above equation:

R = V/ I ---- (1)

And

I = P/V    --- (2)

If 1 unit = 1 KWH = 3.6 × 10⁶ J

Then;

2.2 units = (3.6 × 10⁶ × 2.2)

= 7.92 × 10⁶ J

So, Energy = 7.92 × 10⁶ J

Also:

Power = energy/time

Power =  7.92 × 10⁶ J / 1 hour

Power = 7.92 × 10⁶ J / 3600 seconds

Power = 2200 Watts

From equation (2)

I = P/V

I = 2200/220

I = 10 A

Recall that:

Resistance R = V/I

Resistance R = 220/10

Resistance R = 22 ohms

SO, if 1 unit costs = Ts 6.00

Then the cost of 2.2 unit = 2.2 ( Rs  6.00)

= Rs 13.20

Answer:

The ratio is  [tex]k:d = 1 : 5[/tex]

Explanation:

From the question we are told that

   The first minimum of the single slit pattern falls on the fifth maximum of the double slit pattern.

Generally the condition for constructive interference for as single slit is  

     [tex]ksin(\theta) = n\lambda[/tex]

Here  k is the width of the slit  and n is the order of the fringe and for single slit n =  1 (cause we are considering the first maxima)

Generally the condition for constructive interference for as double slit is    

        [tex]dsin\theta = m\lambda[/tex]

Here  d is the separation between the  slit  and m is the order of the fringe and for double slit  m  =  5  (cause we are considering the first maxima)

=>     [tex]dsin\theta = 5\lambda[/tex]

So

       [tex]\frac{ksin(\theta)}{dsin(\theta)} = \frac{\lambda}{5\lambda}[/tex]

=>    [tex]\frac{k }{d} = \frac{1}{5}[/tex]

So  

      [tex]k:d = 1 : 5[/tex]

Answer:

[tex]\boxed {\boxed {\sf 300 \ Newtons }}[/tex]

Explanation:

Force can be found by multiplying the mass by the acceleration.

[tex]F=ma[/tex]

The mass is 150 kilograms and the acceleration is 2 meters per second per second, or 2 meters per square second.

[tex]m= 150 \ kg \\a= 2 \ m/s^2[/tex]

Substitute the values into the formula.

[tex]F= 150 \ kg * 2 \ m/s^2[/tex]

Multiply.

[tex]F= 300 \ kg*m/s^2[/tex]

[tex]F= 300 \ N[/tex]

The force of the object is 300 Newtons.

Answer:

9.81 × 10 = 98.1 meters

vertical displacement is s=1/2 at^2 + vt

initial vertical velocity is 0 so s=1/2 at^2

a in this instance is gravitational acceleration so 60m= 1/2 (9.81)t^2

solve for t, t = 3.497s. //I corrected this answer as just now I misread horizontal as vertical.

*For free fall,

Initial velocity (u) = 0

g = 9.8m/s²

time(t) = 10s

Using the second equation of free fall;

s = ut + 1/2gt²

where 's' is the distance fallen.

s = 0(10) + 1/2(9.8)(10)²

s = 1/2(9.8)(100)

s = 490m.

*Initial horizontal velocity (Ux) = 3m/s

Initial vertical velocity (Uy) = 0

since it did not start with any vertical velocity.

Using the second equation of vertical downward motion:

h = Uyt + 1/2gt²

where h is the height of the cliff = 60m.

g = 9.8m/s²

60 = 0(t) = 1/2 (9.8)(t²)

60 = 4.9t²

t = √(60/4.9) = 3.5s.

Answer:

Levi did not apply any fertilizer to one of his plants..

Explanation:

In an experiment, there are two major groups namely: control group and experimental group. Control group is the group in an experiment that does not receive the experimental treatment i.e. the group which the independent variable is not applied to.

In this case, Levi is trying to examine the effect of fertilizer on the growth of tomato plants where he used varying amounts of fertilizer on three of the four plants he used for the experiment. The fourth plant did not receive any amount of fertilizer, which is the independent variable (variable being manipulated or changed). This means that Levi prepared the control group in his experiment by NOT APPLYING ANY FERTILIZER TO ONE OF HIS PLANTS.

Answer:

Explanation:

The kinetic energy of an object can be found by using the formula

[tex]k = \frac{1}{2} m {v}^{2} \\ [/tex]

m is the mass

v is the velocity

From the question we have

[tex]k = \frac{1}{2} \times 75 \times {7}^{2} \\ = 37.5 \times 49 \\ = 1837.5[/tex]

We have the final answer as

Hope this helps you

Answer:

I don't really know much about the whole stars thing, but I've written a lot of paragraphs in science

Explanation:

Remember:

Include:

Answer:

Electromagnetic cranes are used to separate copper from iron in a scrap yard. The current is switched on to energies the electromagnet and pick up the iron pieces from the scrap. Then these iron pieces are moved to another position, the electromagnet in switched off and the iron pieces are released.

Explanation:

Answer:

Water waves are an example of waves that involve a combination of both longitudinal and transverse motions. As a wave travels through the waver, the particles travel in clockwise circles. The radius of the circles decreases as the depth into the water increases.

Explanation:

Answer:

Joule

Explanation:

Joule is the SI unit of work or energy.

Answer:

joule

Explanation:

edge2020

Answer:

Probably like around 30 - 35 years, 100-250 days and 7-14 hours

Explanation:

Question:

What happens to electrical energy that is used by objects in our homes? (1 point)

a It is absorbed by batteries.

b It is destroyed.

c It is stored in solar panels.

d It is transformed into other forms of energy.

Answer:

D

d. It is transformed into other forms of energy.

When electrical energy is used by objects in our homes, it is transformed into other forms of energy depending on the specific device or appliance. For example:

This transformation of electrical energy into other forms is governed by the principles of conservation of energy, which state that energy cannot be created or destroyed, only converted from one form to another. So, while electrical energy is consumed and "used up" by the devices in our homes, it is not destroyed but rather converted into different forms of energy that serve various purposes.

To learn more about electrical energy, here

https://brainly.com/question/16182853

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Answer: Physical component- state of physiological arousal triggered by autonomic nervous system

Behavioral component- outward expression of emotion, including facial expression and behavior

Cognitive component- appraisal of the situation determine which emotion we are experiencing and why.

Explanation:

hope that helps :)

The three elements of emotions are a subjective experience, a physiological response, and a behavioral or expressive response.

Emotions enable us to express our needs to others, such as when we are depressed and in need of assistance. They can also assist us in taking swift action when necessary.

For instance, panic causes you to jump back onto the curb when you're ready to cross the street, and you see a car approaching swiftly. Three components make up the “feeling” aspect of consciousness: a particular physical arousal, a particular conduct that communicates the feeling to others, and an internal awareness of the emotion.

Therefore, the elements of emotions are subjective experience, physiological response, and behavioral or expressive response.

To learn more about emotions, refer to the link:

https://brainly.com/question/14101382

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Answer:

Explanation:

The potential energy of a body can be found by using the formula

PE = mgh

where

m is the mass

h is the height

g is the acceleration due to gravity which is 9.8 m/s²

From the question we have

PE = 3 × 9.8 × 12

We have the final answer as

Hope this helps you

Answer: Speed and velocity are both measured using the same units. The SI unit of distance and displacement is the meter. The SI unit of time is the second. The SI unit of speed and velocity is the ratio of two — the meter per second .

Explanation: Hopefully this helps you.

Answer:

moderate

Explanation:

because light would be walking casually while vigorous would be sprinting or something like that

Answer:

1 kg at 1 m/s

Explanation:

less weight to propell it forward

Answer:

The sea bed is 1125 m deep.

Explanation:

Speed

It's the rate of change of the distance (d) traveled by an object over time (t).

The speed can be calculated by the formula:

[tex]\displaystyle v=\frac{d}{t}[/tex]

It's known the speed of sound in water is v=1500 m/s. A sound wave is sent to the sea bed and bounces back to the ship 1.5 seconds later.

That is the time the wave takes to travel twice the distance from the ship to the sea bed, thus the required distance uses half of that time or t=1.5/2 = 0.75 seconds.

Solving the equation for d:

d = v.t

d = 1500 m/s * 0.75 s

d = 1125 m

The sea bed is 1125 m deep.

Answer:

2,8,8

Explanation:

im not sure really what you asking but is it this the shells

Answer:

The correct option is (c).

Explanation:

When an object tied to a rope and we rotate it, the centripetal force acting on it. This force acts towards the center of the circle. The magnitude of the force is given by :

[tex]F=\dfrac{mv^2}{r}[/tex]

Where,

m is mass, v is speed and r is radius of path

If the length of the rope is increased, it means it will make a large circle i.e. large radius.

As we can see that force is inversely proportional to the radius of circle. It means less force is required because the force is inversely proportional to the radius of the circular orbit. Hence, the correct option is (c).

To move an object at a constant speed after increasing the length of the rope, less force is required because the force is inversely proportional to the radius of the circular orbit. Thus option C is correct.

The force applied to the object moving in a circular motion can be given by:

[tex]\rm Force\;=\;\dfrac{mass\;\times\;(speed)^2}{radius}[/tex]

From the equation, it is evident that force has been inversely proportional to the radius of the circular path. Since the length of the rope is doubled, the radius the circular path has also been doubled.

If we apply the same unit of force, the speed of the motion will increase, as speed has been directly proportional to the force applied.

Thus, to maintain the object at a constant speed, the force applied to the object has been reduced.

So, in order to move an object at a constant speed after increasing the length of the rope, less force is required because the force is inversely proportional to the radius of the circular orbit. Thus option C is correct.

For more information about the circular motion, refer to the link:

https://brainly.com/question/1388042